A class of Multivalent Meromorphic Functions Involving an Integral Operator | ||||
| Journal of Fractional Calculus and Applications | ||||
| Volume 15, Issue 2, July 2024, Page 1-6 PDF (202.99 K) | ||||
| Document Type: Letters to the editor | ||||
| DOI: 10.21608/jfca.2024.290678.1104 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Zeinab M Saleh   1; Adela Othman Moustafa 2; samar Mohamed Madian 3
| ||||
| 1Basic Science Dept. Higher. Tec. Instit, The tenth of Ramadan, Egypt. | ||||
| 2Math. Dept., Faculty of Science, Mansoura University, Egypt. | ||||
| 3Higher Institute of Engineering and Technology New Damietta, Egypt. | ||||
| Abstract | ||||
| In this paper, for analytic and multivalent functions defined in the punched disc U^{∗}={ϑ∈ℂ:0<|ϑ-δ|<1}=U\{δ}, δ be a fixed point in U. We define the new class of multivalent meromorphic Bazilevič functions M_{δ,p}^{m}(α,β,μ,ρ,γ) associated with the new integral operator J_{δ,p}^{m}(μ,α), from which one can obtain many other new operators using the principle of Hadamard product (or convolution) by taking different values of its parameters. Let P_{k}(ρ,p) be the class of functions θ(ϑ) analytic in U satisfying θ(0)=p and ∫₀^{2π}|((ℜ{θ(ϑ)}-ρ)/(p-ρ))|dθ≤kπ, where ϑ=re^{iθ},k≥2 and 0≤ρ4 and Aouf and Seoudy 1, we prove our theorems. | ||||
| Keywords | ||||
| Bazilevič function; multivalent meromorphic functions; hadamard product; integral operator | ||||
|
Statistics Article View: 7 PDF Download: 25 |
||||
